0.03/0.11	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.03/0.11	% Command    : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 240 THM
0.11/0.32	% Computer : n012.cluster.edu
0.11/0.32	% Model    : x86_64 x86_64
0.11/0.32	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.11/0.32	% Memory   : 8042.1875MB
0.11/0.32	% OS       : Linux 3.10.0-693.el7.x86_64
0.11/0.32	% CPULimit   : 1920
0.11/0.32	% WCLimit    : 240
0.11/0.32	% DateTime   : Wed Jul 30 03:15:34 EDT 2025
0.11/0.32	% CPUTime    : 
0.18/0.46	Running higher-order theorem proving
0.18/0.48	Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=240 /export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p
0.50/240.02	# Version: 3.0.0-ho
0.50/240.02	# Preprocessing class: HSLMSLSSLLLCHFA.
0.50/240.02	# Scheduled 8 strats onto 8 cores with 240 seconds (1920 total)
0.50/240.02	# Starting ehoh_best5 with 240s (1) cores
0.50/240.02	# Starting almost_fo_3_lam with 240s (1) cores
0.50/240.02	# Starting new_bool_5 with 240s (1) cores
0.50/240.02	# Starting pre_casc_3 with 240s (1) cores
0.50/240.02	# Starting ho_unfolding_8 with 240s (1) cores
0.50/240.02	# Starting new_ho_10_cnf2 with 240s (1) cores
0.50/240.02	# Starting new_bool_3 with 240s (1) cores
0.50/240.02	# Starting new_ho_5 with 240s (1) cores
0.50/240.02	# new_bool_5 with pid 29567 completed with status 0
0.50/240.02	# Result found by new_bool_5
0.50/240.02	# Preprocessing class: HSLMSLSSLLLCHFA.
0.50/240.02	# Scheduled 8 strats onto 8 cores with 240 seconds (1920 total)
0.50/240.02	# Starting ehoh_best5 with 240s (1) cores
0.50/240.02	# Starting almost_fo_3_lam with 240s (1) cores
0.50/240.02	# Starting new_bool_5 with 240s (1) cores
0.50/240.02	# SinE strategy is GSinE(CountFormulas,hypos,1.0,,1,20000,1.0)
0.50/240.02	# Search class: HGHSM-FSMS31-SHFMMSBN
0.50/240.02	# partial match(1): HGHSM-FSLS31-SHFMMSBN
0.50/240.02	# Scheduled 6 strats onto 1 cores with 240 seconds (240 total)
0.50/240.02	# Starting sh3 with 130s (1) cores
0.50/240.02	# sh3 with pid 29581 completed with status 0
0.50/240.02	# Result found by sh3
0.50/240.02	# Preprocessing class: HSLMSLSSLLLCHFA.
0.50/240.02	# Scheduled 8 strats onto 8 cores with 240 seconds (1920 total)
0.50/240.02	# Starting ehoh_best5 with 240s (1) cores
0.50/240.02	# Starting almost_fo_3_lam with 240s (1) cores
0.50/240.02	# Starting new_bool_5 with 240s (1) cores
0.50/240.02	# SinE strategy is GSinE(CountFormulas,hypos,1.0,,1,20000,1.0)
0.50/240.02	# Search class: HGHSM-FSMS31-SHFMMSBN
0.50/240.02	# partial match(1): HGHSM-FSLS31-SHFMMSBN
0.50/240.02	# Scheduled 6 strats onto 1 cores with 240 seconds (240 total)
0.50/240.02	# Starting sh3 with 130s (1) cores
0.50/240.02	# Preprocessing time       : 0.004 s
0.50/240.02	# Presaturation interreduction done
0.50/240.02	
0.50/240.02	# Proof found!
0.50/240.02	# SZS status Theorem
0.50/240.02	# SZS output start CNFRefutation
0.50/240.02	thf(decl_23, type, in: $i > $i > $o).
0.50/240.02	thf(decl_24, type, exu: ($i > $o) > $o).
0.50/240.02	thf(decl_25, type, setextAx: $o).
0.50/240.02	thf(decl_26, type, emptyset: $i).
0.50/240.02	thf(decl_27, type, emptysetAx: $o).
0.50/240.02	thf(decl_28, type, setadjoin: $i > $i > $i).
0.50/240.02	thf(decl_29, type, setadjoinAx: $o).
0.50/240.02	thf(decl_30, type, powerset: $i > $i).
0.50/240.02	thf(decl_31, type, powersetAx: $o).
0.50/240.02	thf(decl_32, type, setunion: $i > $i).
0.50/240.02	thf(decl_33, type, setunionAx: $o).
0.50/240.02	thf(decl_34, type, omega: $i).
0.50/240.02	thf(decl_35, type, omega0Ax: $o).
0.50/240.02	thf(decl_36, type, omegaSAx: $o).
0.50/240.02	thf(decl_37, type, omegaIndAx: $o).
0.50/240.02	thf(decl_38, type, replAx: $o).
0.50/240.02	thf(decl_39, type, foundationAx: $o).
0.50/240.02	thf(decl_40, type, wellorderingAx: $o).
0.50/240.02	thf(decl_41, type, descr: ($i > $o) > $i).
0.50/240.02	thf(decl_42, type, descrp: $o).
0.50/240.02	thf(decl_43, type, dsetconstr: $i > ($i > $o) > $i).
0.50/240.02	thf(decl_44, type, dsetconstrI: $o).
0.50/240.02	thf(decl_45, type, dsetconstrEL: $o).
0.50/240.02	thf(decl_46, type, dsetconstrER: $o).
0.50/240.02	thf(decl_47, type, exuE1: $o).
0.50/240.02	thf(decl_48, type, prop2set: $o > $i).
0.50/240.02	thf(decl_49, type, prop2setE: $o).
0.50/240.02	thf(decl_50, type, emptysetE: $o).
0.50/240.02	thf(decl_51, type, emptysetimpfalse: $o).
0.50/240.02	thf(decl_52, type, notinemptyset: $o).
0.50/240.02	thf(decl_53, type, exuE3e: $o).
0.50/240.02	thf(decl_54, type, setext: $o).
0.50/240.02	thf(decl_55, type, emptyI: $o).
0.50/240.02	thf(decl_56, type, noeltsimpempty: $o).
0.50/240.02	thf(decl_57, type, setbeta: $o).
0.50/240.02	thf(decl_58, type, nonempty: $i > $o).
0.50/240.02	thf(decl_59, type, nonemptyE1: $o).
0.50/240.02	thf(decl_60, type, nonemptyI: $o).
0.50/240.02	thf(decl_61, type, nonemptyI1: $o).
0.50/240.02	thf(decl_62, type, setadjoinIL: $o).
0.50/240.02	thf(decl_63, type, emptyinunitempty: $o).
0.50/240.02	thf(decl_64, type, setadjoinIR: $o).
0.50/240.02	thf(decl_65, type, setadjoinE: $o).
0.50/240.02	thf(decl_66, type, setadjoinOr: $o).
0.50/240.02	thf(decl_67, type, setoftrueEq: $o).
0.50/240.02	thf(decl_68, type, powersetI: $o).
0.50/240.02	thf(decl_69, type, emptyinPowerset: $o).
0.50/240.02	thf(decl_70, type, emptyInPowerset: $o).
0.50/240.02	thf(decl_71, type, powersetE: $o).
0.50/240.02	thf(decl_72, type, setunionI: $o).
0.50/240.02	thf(decl_73, type, setunionE: $o).
0.50/240.02	thf(decl_74, type, subPowSU: $o).
0.50/240.02	thf(decl_75, type, exuE2: $o).
0.50/240.02	thf(decl_76, type, nonemptyImpWitness: $o).
0.50/240.02	thf(decl_77, type, uniqinunit: $o).
0.50/240.02	thf(decl_78, type, notinsingleton: $o).
0.50/240.02	thf(decl_79, type, eqinunit: $o).
0.50/240.02	thf(decl_80, type, singletonsswitch: $o).
0.50/240.02	thf(decl_81, type, upairsetE: $o).
0.50/240.02	thf(decl_82, type, upairsetIL: $o).
0.50/240.02	thf(decl_83, type, upairsetIR: $o).
0.50/240.02	thf(decl_84, type, emptyE1: $o).
0.50/240.02	thf(decl_85, type, vacuousDall: $o).
0.50/240.02	thf(decl_86, type, quantDeMorgan1: $o).
0.50/240.02	thf(decl_87, type, quantDeMorgan2: $o).
0.50/240.02	thf(decl_88, type, quantDeMorgan3: $o).
0.50/240.02	thf(decl_89, type, quantDeMorgan4: $o).
0.50/240.02	thf(decl_90, type, prop2setI: $o).
0.50/240.02	thf(decl_92, type, prop2set2propI: $o).
0.50/240.02	thf(decl_93, type, notdexE: $o).
0.50/240.02	thf(decl_94, type, notdallE: $o).
0.50/240.02	thf(decl_95, type, exuI1: $o).
0.50/240.02	thf(decl_96, type, exuI3: $o).
0.50/240.02	thf(decl_97, type, exuI2: $o).
0.50/240.02	thf(decl_98, type, inCongP: $o).
0.50/240.02	thf(decl_99, type, in__Cong: $o).
0.50/240.02	thf(decl_100, type, exuE3u: $o).
0.50/240.02	thf(decl_101, type, exu__Cong: $o).
0.50/240.02	thf(decl_102, type, emptyset__Cong: $o).
0.50/240.02	thf(decl_103, type, setadjoin__Cong: $o).
0.50/240.02	thf(decl_104, type, powerset__Cong: $o).
0.50/240.02	thf(decl_105, type, setunion__Cong: $o).
0.50/240.02	thf(decl_106, type, omega__Cong: $o).
0.50/240.02	thf(decl_107, type, exuEu: $o).
0.50/240.02	thf(decl_108, type, descr__Cong: $o).
0.50/240.02	thf(decl_109, type, dsetconstr__Cong: $o).
0.50/240.02	thf(decl_110, type, subset: $i > $i > $o).
0.50/240.02	thf(decl_113, type, subsetI1: $o).
0.50/240.02	thf(decl_114, type, eqimpsubset2: $o).
0.50/240.02	thf(decl_115, type, eqimpsubset1: $o).
0.50/240.02	thf(decl_116, type, subsetI2: $o).
0.50/240.02	thf(decl_117, type, emptysetsubset: $o).
0.50/240.02	thf(decl_118, type, subsetE: $o).
0.50/240.02	thf(decl_119, type, subsetE2: $o).
0.50/240.02	thf(decl_120, type, notsubsetI: $o).
0.50/240.02	thf(decl_121, type, notequalI1: $o).
0.50/240.02	thf(decl_122, type, notequalI2: $o).
0.50/240.02	thf(decl_123, type, subsetRefl: $o).
0.50/240.02	thf(decl_124, type, subsetTrans: $o).
0.50/240.02	thf(decl_125, type, setadjoinSub: $o).
0.50/240.02	thf(decl_126, type, setadjoinSub2: $o).
0.50/240.02	thf(decl_127, type, subset2powerset: $o).
0.50/240.02	thf(decl_128, type, setextsub: $o).
0.50/240.02	thf(decl_129, type, subsetemptysetimpeq: $o).
0.50/240.02	thf(decl_130, type, powersetI1: $o).
0.50/240.02	thf(decl_131, type, powersetE1: $o).
0.50/240.02	thf(decl_132, type, inPowerset: $o).
0.50/240.02	thf(decl_133, type, powersetsubset: $o).
0.50/240.02	thf(decl_134, type, sepInPowerset: $o).
0.50/240.02	thf(decl_135, type, sepSubset: $o).
0.50/240.02	thf(decl_136, type, binunion: $i > $i > $i).
0.50/240.02	thf(decl_137, type, binunionIL: $o).
0.50/240.02	thf(decl_138, type, epred1_0: $o).
0.50/240.02	thf(decl_139, type, esk1_2: $i > $i > $i).
0.50/240.02	thf(decl_140, type, esk2_2: $i > $i > $i).
0.50/240.02	thf(decl_141, type, esk3_2: $i > $i > $i).
0.50/240.02	thf(decl_142, type, esk4_1: $i > $i).
0.50/240.02	thf(decl_143, type, esk5_2: ($i > $i > $o) > $i > $i).
0.50/240.02	thf(decl_144, type, esk6_2: ($i > $i > $o) > $i > $i).
0.50/240.02	thf(decl_145, type, esk7_3: ($i > $i > $o) > $i > $i > $i).
0.50/240.02	thf(decl_146, type, esk8_1: $i > $i).
0.50/240.02	thf(decl_147, type, esk9_1: ($i > $o) > $i).
0.50/240.02	thf(decl_148, type, esk10_1: ($i > $o) > $i).
0.50/240.02	thf(decl_149, type, esk11_2: $i > $i > $i).
0.50/240.02	thf(decl_150, type, esk12_2: $i > $i > $i).
0.50/240.02	thf(decl_151, type, esk13_1: $i > $i).
0.50/240.02	thf(decl_152, type, esk14_1: $i > $i).
0.50/240.02	thf(decl_153, type, esk15_1: $i > $i).
0.50/240.02	thf(decl_154, type, esk16_2: $i > $i > $i).
0.50/240.02	thf(decl_155, type, esk17_3: $i > $i > $o > $i).
0.50/240.02	thf(decl_156, type, esk18_1: ($i > $o) > $i).
0.50/240.02	thf(decl_157, type, esk19_1: $i > $i).
0.50/240.02	thf(decl_158, type, esk20_2: $i > ($i > $o) > $i).
0.50/240.02	thf(decl_159, type, esk21_2: $i > ($i > $o) > $i).
0.50/240.02	thf(decl_160, type, esk22_2: $i > ($i > $o) > $i).
0.50/240.02	thf(decl_161, type, esk23_2: $i > ($i > $o) > $i).
0.50/240.02	thf(decl_162, type, esk24_2: $i > ($i > $o) > $i).
0.50/240.02	thf(decl_163, type, esk25_2: $i > ($i > $o) > $i).
0.50/240.02	thf(decl_164, type, esk26_2: ($i > $o) > $i > $i).
0.50/240.02	thf(decl_165, type, esk27_1: ($i > $o) > $i).
0.50/240.02	thf(decl_166, type, esk28_1: ($i > $o) > $i).
0.50/240.02	thf(decl_167, type, esk29_2: ($i > $o) > $i > $i).
0.50/240.02	thf(decl_168, type, esk30_2: ($i > $o) > ($i > $o) > $i).
0.50/240.02	thf(decl_169, type, esk31_2: ($i > $o) > ($i > $o) > $i).
0.50/240.02	thf(decl_170, type, esk32_2: ($i > $o) > ($i > $o) > $i).
0.50/240.02	thf(decl_171, type, esk33_2: ($i > $o) > ($i > $o) > $i).
0.50/240.02	thf(decl_172, type, esk34_4: $i > $i > ($i > $o) > ($i > $o) > $i).
0.50/240.02	thf(decl_173, type, esk35_4: $i > $i > ($i > $o) > ($i > $o) > $i).
0.50/240.02	thf(decl_174, type, esk36_2: $i > $i > $i).
0.50/240.02	thf(decl_175, type, esk37_2: $i > $i > $i).
0.50/240.02	thf(decl_176, type, esk38_0: $i).
0.50/240.02	thf(decl_177, type, esk39_0: $i).
0.50/240.02	thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', exuE3e)).
0.50/240.02	thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', exuE1)).
0.50/240.02	thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', dsetconstrER)).
0.50/240.02	thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', dsetconstrI)).
0.50/240.02	thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', descrp)).
0.50/240.02	thf(exuE3u, axiom, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', exuE3u)).
0.50/240.02	thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', exuE2)).
0.50/240.02	thf(descr__Cong, axiom, ((descr__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))=>((exu @ (^[X2:$i]:((X17 @ X2))))=>((descr @ (^[X2:$i]:((X1 @ X2))))=(descr @ (^[X2:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', descr__Cong)).
0.50/240.02	thf(sepInPowerset, axiom, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', sepInPowerset)).
0.50/240.02	thf(sepSubset, axiom, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ X4))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', sepSubset)).
0.50/240.02	thf(dsetconstr__Cong, axiom, ((dsetconstr__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X1:$i > $o, X17:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3)))))))=>((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(dsetconstr @ X5 @ (^[X2:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', dsetconstr__Cong)).
0.50/240.02	thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', exuEu)).
0.50/240.02	thf(exu__Cong, axiom, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))<=>(exu @ (^[X2:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', exu__Cong)).
0.50/240.02	thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', exuI2)).
0.50/240.02	thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', exuI3)).
0.50/240.02	thf(exuI1, axiom, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', exuI1)).
0.50/240.02	thf(emptyE1, axiom, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(emptyset))=>~($true))))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', emptyE1)).
0.50/240.02	thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', setoftrueEq)).
0.50/240.02	thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', nonemptyI)).
0.50/240.02	thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', setbeta)).
0.50/240.02	thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', dsetconstrEL)).
0.50/240.02	thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', replAx)).
0.50/240.02	thf(upairset2IR, conjecture, (((((((((omegaIndAx)=>((replAx)=>((foundationAx)=>(((((dsetconstrEL)=>(((((emptysetE)=>((emptysetimpfalse)=>((((setext)=>((emptyI)=>((noeltsimpempty)=>((setbeta)=>(((nonemptyI)=>((nonemptyI1)=>((setadjoinIL)=>(((setadjoinIR)=>(((setadjoinOr)=>((setoftrueEq)=>((powersetI)=>((emptyinPowerset)=>(((((((exuE2)=>(((uniqinunit)=>((((singletonsswitch)=>((upairsetE)=>(((upairsetIR)=>(((((quantDeMorgan2)=>((quantDeMorgan3)=>((quantDeMorgan4)=>(((prop2set2propI)=>((notdexE)=>((((((((exuE3u)=>(((emptyset__Cong)=>((setadjoin__Cong)=>((((((descr__Cong)=>((((eqimpsubset2)=>((eqimpsubset1)=>((subsetI2)=>(((((((((subsetTrans)=>((setadjoinSub)=>(((subset2powerset)=>(((subsetemptysetimpeq)=>((powersetI1)=>(((inPowerset)=>(((sepInPowerset)=>((sepSubset)=>((binunionIL)=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))))))<=(powersetsubset)))<=(powersetE1))))<=(setextsub)))<=(setadjoinSub2))))<=(subsetRefl))<=(notequalI2))<=(notequalI1))<=(notsubsetI))<=(subsetE2))<=(subsetE))<=(emptysetsubset)))))<=(subsetI1))<=(dsetconstr__Cong)))<=(exuEu))<=(omega__Cong))<=(setunion__Cong))<=(powerset__Cong))))<=(exu__Cong)))<=(in__Cong))<=(inCongP))<=(exuI2))<=(exuI3))<=(exuI1))<=(notdallE))))<=(prop2setI)))))<=(quantDeMorgan1))<=(vacuousDall))<=(emptyE1)))<=(upairsetIL))))<=(eqinunit))<=(notinsingleton)))<=(nonemptyImpWitness)))<=(subPowSU))<=(setunionE))<=(setunionI))<=(powersetE))<=(emptyInPowerset))))))<=(setadjoinE)))<=(emptyinunitempty)))))<=(nonemptyE1))))))<=(exuE3e))<=(notinemptyset))))<=(prop2setE))<=(exuE1))<=(dsetconstrER)))<=(dsetconstrI))<=(descrp))<=(wellorderingAx)))))<=(omegaSAx))<=(omega0Ax))<=(setunionAx))<=(powersetAx))<=(setadjoinAx))<=(emptysetAx))<=(setextAx)), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', upairset2IR)).
0.50/240.02	thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', setextAx)).
0.50/240.02	thf(setunionE, axiom, ((setunionE)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X13:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X13))))=>(X13)))))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', setunionE)).
0.50/240.02	thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', emptyinPowerset)).
0.50/240.02	thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', setunionI)).
0.50/240.02	thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', upairsetE)).
0.50/240.02	thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', powersetE)).
0.50/240.02	thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', emptyInPowerset)).
0.50/240.02	thf(setadjoinE, axiom, ((setadjoinE)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>![X12:$o]:(((((X3)=(X2))=>(X12))=>(((in @ X3 @ X4)=>(X12))=>(X12))))))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', setadjoinE)).
0.50/240.02	thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', upairsetIR)).
0.50/240.02	thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', emptyinunitempty)).
0.50/240.02	thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', nonemptyE1)).
0.50/240.02	thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', quantDeMorgan2)).
0.50/240.02	thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', notinemptyset)).
0.50/240.02	thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', prop2setE)).
0.50/240.02	thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', quantDeMorgan3)).
0.50/240.02	thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', quantDeMorgan4)).
0.50/240.02	thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$i]:(?[X5:$i]:((((![X7:$i]:(((in @ X7 @ X5)=>![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))))&![X2:$i, X3:$i]:((((in @ X2 @ X4)&(in @ X3 @ X4))=>(![X7:$i]:(((in @ X7 @ X5)=>((in @ X2 @ X7)<=>(in @ X3 @ X7))))=>((X2)=(X3))))))&![X7:$i, X8:$i]:((((in @ X7 @ X5)&(in @ X8 @ X5))=>(![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X8)))|![X2:$i]:(((in @ X2 @ X8)=>(in @ X2 @ X7)))))))&![X7:$i]:(((![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))&?[X2:$i]:((in @ X2 @ X7)))=>?[X8:$i, X2:$i]:(((((in @ X8 @ X5)&(in @ X2 @ X7))&~(?[X3:$i]:(((in @ X3 @ X8)&(in @ X3 @ X7)))))&![X9:$i]:(((in @ X9 @ X5)=>(![X3:$i]:(((in @ X3 @ X9)=>(in @ X3 @ X8)))|(in @ X2 @ X9)))))))))))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', wellorderingAx)).
0.50/240.02	thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', omegaSAx)).
0.50/240.02	thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', notdexE)).
0.50/240.02	thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', omega0Ax)).
0.50/240.02	thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', setunionAx)).
0.50/240.02	thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', powersetAx)).
0.50/240.02	thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', setadjoinAx)).
0.50/240.02	thf(powersetsubset, axiom, ((powersetsubset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ (powerset @ X4) @ (powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', powersetsubset)).
0.50/240.02	thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', emptysetAx)).
0.50/240.02	thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', emptyset__Cong)).
0.50/240.02	thf(setadjoin__Cong, axiom, ((setadjoin__Cong)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', setadjoin__Cong)).
0.50/240.02	thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', eqimpsubset2)).
0.50/240.02	thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', eqimpsubset1)).
0.50/240.02	thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', subsetI2)).
0.50/240.02	thf(subsetTrans, axiom, ((subsetTrans)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7))))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', subsetTrans)).
0.50/240.02	thf(setadjoinSub, axiom, ((setadjoinSub)<=>![X2:$i, X4:$i]:((subset @ X4 @ (setadjoin @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', setadjoinSub)).
0.50/240.02	thf(subset2powerset, axiom, ((subset2powerset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(in @ X4 @ (powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', subset2powerset)).
0.50/240.02	thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', uniqinunit)).
0.50/240.02	thf(subsetemptysetimpeq, axiom, ((subsetemptysetimpeq)<=>![X4:$i]:(((subset @ X4 @ emptyset)=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', subsetemptysetimpeq)).
0.50/240.02	thf(powersetI1, axiom, ((powersetI1)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', powersetI1)).
0.50/240.02	thf(inPowerset, axiom, ((inPowerset)<=>![X4:$i]:((in @ X4 @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', inPowerset)).
0.50/240.02	thf(binunionIL, axiom, ((binunionIL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', binunionIL)).
0.50/240.02	thf(powersetE1, axiom, ((powersetE1)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', powersetE1)).
0.50/240.02	thf(setextsub, axiom, ((setextsub)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X4)=>((X4)=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', setextsub)).
0.50/240.02	thf(setadjoinSub2, axiom, ((setadjoinSub2)<=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', setadjoinSub2)).
0.50/240.02	thf(subsetRefl, axiom, ((subsetRefl)<=>![X4:$i]:((subset @ X4 @ X4))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', subsetRefl)).
0.50/240.02	thf(notequalI2, axiom, ((notequalI2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>((X4)!=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', notequalI2)).
0.50/240.02	thf(notequalI1, axiom, ((notequalI1)<=>![X4:$i, X5:$i]:((~((subset @ X4 @ X5))=>((X4)!=(X5))))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', notequalI1)).
0.50/240.02	thf(notsubsetI, axiom, ((notsubsetI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', notsubsetI)).
0.50/240.02	thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', subsetE2)).
0.50/240.02	thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', singletonsswitch)).
0.50/240.02	thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', subsetE)).
0.50/240.02	thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', emptysetsubset)).
0.50/240.02	thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', subsetI1)).
0.50/240.02	thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', omega__Cong)).
0.50/240.02	thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', setunion__Cong)).
0.50/240.02	thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', powerset__Cong)).
0.50/240.02	thf(in__Cong, axiom, ((in__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)<=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', in__Cong)).
0.50/240.02	thf(inCongP, axiom, ((inCongP)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', inCongP)).
0.50/240.02	thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', notdallE)).
0.50/240.02	thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', prop2setI)).
0.50/240.02	thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', quantDeMorgan1)).
0.50/240.02	thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', vacuousDall)).
0.50/240.02	thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', upairsetIL)).
0.50/240.02	thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', eqinunit)).
0.50/240.02	thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', notinsingleton)).
0.50/240.02	thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', nonemptyImpWitness)).
0.50/240.02	thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', subPowSU)).
0.50/240.02	thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', powersetI)).
0.50/240.02	thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', setadjoinOr)).
0.50/240.02	thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', setadjoinIR)).
0.50/240.02	thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', setadjoinIL)).
0.50/240.02	thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', nonemptyI1)).
0.50/240.02	thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', noeltsimpempty)).
0.50/240.02	thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', emptyI)).
0.50/240.02	thf(setext, axiom, ((setext)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>((X4)=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', setext)).
0.50/240.02	thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', emptysetimpfalse)).
0.50/240.02	thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', emptysetE)).
0.50/240.02	thf(foundationAx, axiom, ((foundationAx)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>?[X5:$i]:(((in @ X5 @ X4)&~(?[X2:$i]:(((in @ X2 @ X5)&(in @ X2 @ X4))))))))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', foundationAx)).
0.50/240.02	thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.rtM4EUrCPm/E---3.1_29427.p', omegaIndAx)).
0.50/240.02	thf(c_0_99, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
0.50/240.02	thf(c_0_100, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
0.50/240.02	thf(c_0_101, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
0.50/240.02	thf(c_0_102, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
0.50/240.02	thf(c_0_103, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
0.50/240.02	thf(c_0_104, plain, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuE3u])).
0.50/240.02	thf(c_0_105, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])).
0.50/240.02	thf(c_0_106, plain, ((descr__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>((exu @ (^[Z0/* 3 */:$i]:((X17 @ Z0))))=>((descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])).
0.50/240.02	thf(c_0_107, plain, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))) @ (powerset @ X4)))), inference(fof_simplification,[status(thm)],[sepInPowerset])).
0.50/240.02	thf(c_0_108, plain, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))) @ X4))), inference(fof_simplification,[status(thm)],[sepSubset])).
0.50/240.02	thf(c_0_109, plain, ((dsetconstr__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X1:$i > $o, X17:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3)))))))=>((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(dsetconstr @ X5 @ (^[Z0/* 3 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])).
0.50/240.02	thf(c_0_110, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])).
0.50/240.02	thf(c_0_111, plain, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))<=>(exu @ (^[Z0/* 3 */:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])).
0.50/240.02	thf(c_0_112, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])).
0.50/240.02	thf(c_0_113, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])).
0.50/240.02	thf(c_0_114, plain, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI1])).
0.50/240.02	thf(c_0_115, plain, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(emptyset))=>~($true))))), inference(fof_simplification,[status(thm)],[emptyE1])).
0.50/240.02	thf(c_0_116, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
0.50/240.02	thf(c_0_117, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
0.50/240.02	thf(c_0_118, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
0.50/240.02	thf(c_0_119, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
0.50/240.02	thf(c_0_120, plain, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[Z0/* 3 */:$i]:((X6 @ X2 @ Z0))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
0.50/240.02	thf(c_0_121, plain, ((epred1_0)<=>![X516:$i]:(?[X517:$i]:((((![X518:$i]:(((in @ X518 @ X517)=>![X519:$i]:(((in @ X519 @ X518)=>(in @ X519 @ X516)))))&![X520:$i, X521:$i]:((((in @ X520 @ X516)&(in @ X521 @ X516))=>(![X522:$i]:(((in @ X522 @ X517)=>((in @ X520 @ X522)<=>(in @ X521 @ X522))))=>((X520)=(X521))))))&![X523:$i, X524:$i]:((((in @ X523 @ X517)&(in @ X524 @ X517))=>(![X525:$i]:(((in @ X525 @ X523)=>(in @ X525 @ X524)))|![X526:$i]:(((in @ X526 @ X524)=>(in @ X526 @ X523)))))))&![X527:$i]:(((![X528:$i]:(((in @ X528 @ X527)=>(in @ X528 @ X516)))&?[X529:$i]:((in @ X529 @ X527)))=>?[X530:$i, X531:$i]:(((((in @ X530 @ X517)&(in @ X531 @ X527))&~(?[X532:$i]:(((in @ X532 @ X530)&(in @ X532 @ X527)))))&![X533:$i]:(((in @ X533 @ X517)=>(![X534:$i]:(((in @ X534 @ X533)=>(in @ X534 @ X530)))|(in @ X531 @ X533)))))))))))), introduced(definition)).
0.50/240.02	thf(c_0_122, negated_conjecture, ~((![X546:$i, X547:$i]:((![X548:$i]:(((in @ X548 @ X546)<=>(in @ X548 @ X547)))=>((X546)=(X547))))=>(![X545:$i]:(~(in @ X545 @ emptyset))=>(![X542:$i, X543:$i, X544:$i]:(((in @ X544 @ (setadjoin @ X542 @ X543))<=>(((X544)=(X542))|(in @ X544 @ X543))))=>(![X539:$i, X540:$i]:(((in @ X540 @ (powerset @ X539))<=>![X541:$i]:(((in @ X541 @ X540)=>(in @ X541 @ X539)))))=>(![X536:$i, X537:$i]:(((in @ X537 @ (setunion @ X536))<=>?[X538:$i]:(((in @ X537 @ X538)&(in @ X538 @ X536)))))=>((in @ emptyset @ omega)=>(![X535:$i]:(((in @ X535 @ omega)=>(in @ (setadjoin @ X535 @ X535) @ omega)))=>(![X285:$i]:((((in @ emptyset @ X285)&![X286:$i]:((((in @ X286 @ omega)&(in @ X286 @ X285))=>(in @ (setadjoin @ X286 @ X286) @ X285))))=>![X287:$i]:(((in @ X287 @ omega)=>(in @ X287 @ X285)))))=>(![X288:$i > $i > $o, X289:$i]:((![X290:$i]:(((in @ X290 @ X289)=>(exu @ (X288 @ X290))))=>?[X291:$i]:(![X292:$i]:(((in @ X292 @ X291)<=>?[X293:$i]:(((in @ X293 @ X289)&(X288 @ X293 @ X292))))))))=>(![X294:$i]:((?[X295:$i]:((in @ X295 @ X294))=>?[X296:$i]:(((in @ X296 @ X294)&~(?[X297:$i]:(((in @ X297 @ X296)&(in @ X297 @ X294))))))))=>((epred1_0)=>(![X515:$i > $o]:(((exu @ X515)=>(X515 @ (descr @ (^[Z0/* 17 */:$i]:(X515 @ Z0))))))=>(![X512:$i, X513:$i > $o, X514:$i]:(((in @ X514 @ X512)=>((X513 @ X514)=>(in @ X514 @ (dsetconstr @ X512 @ X513)))))=>(![X298:$i, X299:$i > $o, X300:$i]:(((in @ X300 @ (dsetconstr @ X298 @ X299))=>(in @ X300 @ X298)))=>(![X509:$i, X510:$i > $o, X511:$i]:(((in @ X511 @ (dsetconstr @ X509 @ X510))=>(X510 @ X511)))=>(![X506:$i > $o]:(((exu @ X506)=>?[X507:$i]:(((X506 @ X507)&![X508:$i]:(((X506 @ X508)=>((X507)=(X508))))))))=>(![X504:$o, X505:$i]:(((in @ X505 @ (prop2set @ ((X504))))=>(X504)))=>(![X301:$i]:(((in @ X301 @ emptyset)=>![X302:$o]:((X302))))=>(![X303:$i]:(((in @ X303 @ emptyset)=>~($true)))=>(![X503:$i]:(~(in @ X503 @ emptyset))=>(![X501:$i > $o]:(((exu @ X501)=>?[X502:$i]:((X501 @ X502))))=>(![X304:$i, X305:$i]:((![X306:$i]:(((in @ X306 @ X304)=>(in @ X306 @ X305)))=>(![X307:$i]:(((in @ X307 @ X305)=>(in @ X307 @ X304)))=>((X304)=(X305)))))=>(![X308:$i]:((![X309:$i]:(~(in @ X309 @ X308))=>((X308)=(emptyset))))=>(![X310:$i]:((![X311:$i]:(~(in @ X311 @ X310))=>((X310)=(emptyset))))=>(![X312:$i, X313:$i > $o, X314:$i]:(((in @ X314 @ X312)=>((in @ X314 @ (dsetconstr @ X312 @ X313))<=>(X313 @ X314))))=>(![X499:$i]:(((nonempty @ X499)=>?[X500:$i]:((in @ X500 @ X499))))=>(![X315:$i, X316:$i > $o, X317:$i]:(((in @ X317 @ X315)=>((X316 @ X317)=>(nonempty @ (dsetconstr @ X315 @ X316)))))=>(![X318:$i]:((?[X319:$i]:((in @ X319 @ X318))=>(nonempty @ X318)))=>(![X320:$i, X321:$i]:((in @ X320 @ (setadjoin @ X320 @ X321)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X322:$i, X323:$i, X324:$i]:(((in @ X324 @ X323)=>(in @ X324 @ (setadjoin @ X322 @ X323))))=>(![X495:$i, X496:$i, X497:$i]:(((in @ X497 @ (setadjoin @ X495 @ X496))=>![X498:$o]:(((((X497)=(X495))=>(X498))=>(((in @ X497 @ X496)=>(X498))=>(X498))))))=>(![X325:$i, X326:$i, X327:$i]:(((in @ X327 @ (setadjoin @ X325 @ X326))=>(((X327)=(X325))|(in @ X327 @ X326))))=>(![X328:$i]:(((dsetconstr @ X328 @ (^[Z0/* 1 */:$i]:($true)))=(X328)))=>(![X329:$i, X330:$i]:((![X331:$i]:(((in @ X331 @ X330)=>(in @ X331 @ X329)))=>(in @ X330 @ (powerset @ X329))))=>(![X332:$i]:((in @ emptyset @ (powerset @ X332)))=>(![X494:$i]:((in @ emptyset @ (powerset @ X494)))=>(![X491:$i, X492:$i, X493:$i]:(((in @ X492 @ (powerset @ X491))=>((in @ X493 @ X492)=>(in @ X493 @ X491))))=>(![X488:$i, X489:$i, X490:$i]:(((in @ X489 @ X490)=>((in @ X490 @ X488)=>(in @ X489 @ (setunion @ X488)))))=>(![X484:$i, X485:$i]:(((in @ X485 @ (setunion @ X484))=>![X486:$o]:((![X487:$i]:(((in @ X485 @ X487)=>((in @ X487 @ X484)=>(X486))))=>(X486)))))=>(![X482:$i, X483:$i]:(((in @ X483 @ X482)=>(in @ X483 @ (powerset @ (setunion @ X482)))))=>(![X333:$i > $o]:(((exu @ X333)=>?[X334:$i]:(![X335:$i]:(((X333 @ X335)<=>((X335)=(X334)))))))=>(![X480:$i]:(((nonempty @ X480)=>?[X481:$i]:(((in @ X481 @ X480)&$true))))=>(![X336:$i, X337:$i]:(((in @ X336 @ (setadjoin @ X337 @ emptyset))=>((X336)=(X337))))=>(![X478:$i, X479:$i]:((((X478)!=(X479))=>~(in @ X479 @ (setadjoin @ X478 @ emptyset))))=>(![X476:$i, X477:$i]:((((X476)=(X477))=>(in @ X476 @ (setadjoin @ X477 @ emptyset))))=>(![X338:$i, X339:$i]:(((in @ X338 @ (setadjoin @ X339 @ emptyset))=>(in @ X339 @ (setadjoin @ X338 @ emptyset))))=>(![X340:$i, X341:$i, X342:$i]:(((in @ X342 @ (setadjoin @ X340 @ (setadjoin @ X341 @ emptyset)))=>(((X342)=(X340))|((X342)=(X341)))))=>(![X474:$i, X475:$i]:((in @ X474 @ (setadjoin @ X474 @ (setadjoin @ X475 @ emptyset))))=>(![X343:$i, X344:$i]:((in @ X344 @ (setadjoin @ X343 @ (setadjoin @ X344 @ emptyset))))=>(![X471:$i, X472:$i > $o]:((?[X473:$i]:(((in @ X473 @ X471)&(X472 @ X473)))=>(((dsetconstr @ X471 @ X472)=(emptyset))=>~($true))))=>(![X469:$i > $o, X470:$i]:(((in @ X470 @ emptyset)=>(X469 @ X470)))=>(![X465:$i, X466:$i > $o]:((~(![X467:$i]:(((in @ X467 @ X465)=>(X466 @ X467))))=>?[X468:$i]:(((in @ X468 @ X465)&~((X466 @ X468))))))=>(![X345:$i, X346:$i > $o]:((![X347:$i]:(((in @ X347 @ X345)=>~((X346 @ X347))))=>~(?[X348:$i]:(((in @ X348 @ X345)&(X346 @ X348))))))=>(![X349:$i, X350:$i > $o]:((~(?[X351:$i]:(((in @ X351 @ X349)&(X350 @ X351))))=>![X352:$i]:(((in @ X352 @ X349)=>~((X350 @ X352))))))=>(![X353:$i, X354:$i > $o]:((?[X355:$i]:(((in @ X355 @ X353)&~((X354 @ X355))))=>~(![X356:$i]:(((in @ X356 @ X353)=>(X354 @ X356))))))=>(![X464:$o]:(((X464)=>(in @ emptyset @ (prop2set @ ((X464))))))=>((prop2set2propI)=>(![X357:$i, X358:$i > $o]:((~(?[X359:$i]:(((in @ X359 @ X357)&(X358 @ X359))))=>![X360:$i]:(((in @ X360 @ X357)=>~((X358 @ X360))))))=>(![X460:$i, X461:$i > $o]:((~(![X462:$i]:(((in @ X462 @ X460)=>(X461 @ X462))))=>?[X463:$i]:(((in @ X463 @ X460)&~((X461 @ X463))))))=>(![X457:$i > $o]:((?[X458:$i]:(((X457 @ X458)&![X459:$i]:(((X457 @ X459)=>((X458)=(X459))))))=>(exu @ X457)))=>(![X453:$i > $o]:((?[X454:$i]:((X453 @ X454))=>(![X455:$i, X456:$i]:(((X453 @ X455)=>((X453 @ X456)=>((X455)=(X456)))))=>(exu @ X453))))=>(![X450:$i > $o]:((?[X451:$i]:(![X452:$i]:(((X450 @ X452)<=>((X452)=(X451)))))=>(exu @ X450)))=>(![X446:$i, X447:$i]:((((X446)=(X447))=>![X448:$i, X449:$i]:((((X448)=(X449))=>((in @ X448 @ X446)=>(in @ X449 @ X447))))))=>(![X442:$i, X443:$i]:((((X442)=(X443))=>![X444:$i, X445:$i]:((((X444)=(X445))=>((in @ X444 @ X442)<=>(in @ X445 @ X443))))))=>(![X361:$i > $o]:(((exu @ X361)=>![X362:$i, X363:$i]:(((X361 @ X362)=>((X361 @ X363)=>((X362)=(X363)))))))=>(![X438:$i > $o, X439:$i > $o]:((![X440:$i, X441:$i]:((((X440)=(X441))=>((X438 @ X440)<=>(X439 @ X441))))=>((exu @ X438)<=>(exu @ X439))))=>(((emptyset)=(emptyset))=>(![X364:$i, X365:$i]:((((X364)=(X365))=>![X366:$i, X367:$i]:((((X366)=(X367))=>((setadjoin @ X364 @ X366)=(setadjoin @ X365 @ X367))))))=>(![X436:$i, X437:$i]:((((X436)=(X437))=>((powerset @ X436)=(powerset @ X437))))=>(![X434:$i, X435:$i]:((((X434)=(X435))=>((setunion @ X434)=(setunion @ X435))))=>(((omega)=(omega))=>(![X431:$i > $o]:(((exu @ X431)=>![X432:$i, X433:$i]:(((X431 @ X432)=>((X431 @ X433)=>((X432)=(X433)))))))=>(![X368:$i > $o, X369:$i > $o]:((![X370:$i, X371:$i]:((((X370)=(X371))=>((X368 @ X370)<=>(X369 @ X371))))=>((exu @ X368)=>((exu @ X369)=>((descr @ X368)=(descr @ X369))))))=>(![X425:$i, X426:$i]:((((X425)=(X426))=>![X427:$i > $o, X428:$i > $o]:((![X429:$i]:(((in @ X429 @ X425)=>![X430:$i]:(((in @ X430 @ X426)=>(((X429)=(X430))=>((X427 @ X429)<=>(X428 @ X430)))))))=>((dsetconstr @ X425 @ X427)=(dsetconstr @ X426 @ X428))))))=>(![X422:$i, X423:$i]:((![X424:$i]:(((in @ X424 @ X422)=>(in @ X424 @ X423)))=>(subset @ X422 @ X423)))=>(![X372:$i, X373:$i]:((((X372)=(X373))=>(subset @ X373 @ X372)))=>(![X374:$i, X375:$i]:((((X374)=(X375))=>(subset @ X374 @ X375)))=>(![X376:$i, X377:$i]:((![X378:$i]:(((in @ X378 @ X376)=>(in @ X378 @ X377)))=>(subset @ X376 @ X377)))=>(![X421:$i]:((subset @ emptyset @ X421))=>(![X418:$i, X419:$i, X420:$i]:(((subset @ X418 @ X419)=>((in @ X420 @ X418)=>(in @ X420 @ X419))))=>(![X415:$i, X416:$i, X417:$i]:(((subset @ X415 @ X416)=>(~(in @ X417 @ X416)=>~(in @ X417 @ X415))))=>(![X412:$i, X413:$i, X414:$i]:(((in @ X414 @ X412)=>(~(in @ X414 @ X413)=>~(subset @ X412 @ X413))))=>(![X410:$i, X411:$i]:((~(subset @ X410 @ X411)=>((X410)!=(X411))))=>(![X407:$i, X408:$i, X409:$i]:(((in @ X409 @ X407)=>(~(in @ X409 @ X408)=>((X407)!=(X408)))))=>(![X406:$i]:((subset @ X406 @ X406))=>(![X379:$i, X380:$i, X381:$i]:(((subset @ X379 @ X380)=>((subset @ X380 @ X381)=>(subset @ X379 @ X381))))=>(![X382:$i, X383:$i]:((subset @ X383 @ (setadjoin @ X382 @ X383)))=>(![X403:$i, X404:$i, X405:$i]:(((subset @ X403 @ X405)=>(subset @ X403 @ (setadjoin @ X404 @ X405))))=>(![X384:$i, X385:$i]:(((subset @ X384 @ X385)=>(in @ X384 @ (powerset @ X385))))=>(![X401:$i, X402:$i]:(((subset @ X401 @ X402)=>((subset @ X402 @ X401)=>((X401)=(X402)))))=>(![X386:$i]:(((subset @ X386 @ emptyset)=>((X386)=(emptyset))))=>(![X387:$i, X388:$i]:(((subset @ X388 @ X387)=>(in @ X388 @ (powerset @ X387))))=>(![X399:$i, X400:$i]:(((in @ X400 @ (powerset @ X399))=>(subset @ X400 @ X399)))=>(![X389:$i]:((in @ X389 @ (powerset @ X389)))=>(![X397:$i, X398:$i]:(((subset @ X397 @ X398)=>(subset @ (powerset @ X397) @ (powerset @ X398))))=>(![X390:$i, X391:$i > $o]:((in @ (dsetconstr @ X390 @ X391) @ (powerset @ X390)))=>(![X392:$i, X393:$i > $o]:((subset @ (dsetconstr @ X392 @ X393) @ X392))=>(![X394:$i, X395:$i, X396:$i]:(((in @ X396 @ X394)=>(in @ X396 @ (binunion @ X394 @ X395))))=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[upairset2IR]), setextAx]), setunionE]), emptyinPowerset]), setunionI]), upairsetE]), powersetE]), emptyInPowerset]), setadjoinE]), upairsetIR]), emptyinunitempty]), nonemptyE1]), quantDeMorgan2]), c_0_99]), notinemptyset]), prop2setE]), quantDeMorgan3]), c_0_100]), c_0_101]), quantDeMorgan4]), c_0_102]), c_0_103]), wellorderingAx]), omegaSAx]), notdexE]), omega0Ax]), setunionAx]), c_0_104]), powersetAx]), setadjoinAx]), powersetsubset]), emptysetAx]), emptyset__Cong]), c_0_105]), setadjoin__Cong]), c_0_106]), eqimpsubset2]), eqimpsubset1]), subsetI2]), subsetTrans]), setadjoinSub]), subset2powerset]), uniqinunit]), subsetemptysetimpeq]), powersetI1]), inPowerset]), c_0_107]), c_0_108]), binunionIL]), powersetE1]), setextsub]), setadjoinSub2]), subsetRefl]), notequalI2]), notequalI1]), notsubsetI]), subsetE2]), singletonsswitch]), subsetE]), emptysetsubset]), subsetI1]), c_0_109]), c_0_110]), omega__Cong]), setunion__Cong]), powerset__Cong]), c_0_111]), in__Cong]), inCongP]), c_0_112]), c_0_113]), c_0_114]), notdallE]), prop2setI]), quantDeMorgan1]), vacuousDall]), c_0_115]), upairsetIL]), eqinunit]), notinsingleton]), nonemptyImpWitness]), subPowSU]), powersetI]), c_0_116]), setadjoinOr]), setadjoinIR]), setadjoinIL]), nonemptyI1]), c_0_117]), c_0_118]), noeltsimpempty]), emptyI]), setext]), emptysetimpfalse]), emptysetE]), c_0_119]), foundationAx]), c_0_120]), omegaIndAx])])]), c_0_121])).
0.50/240.02	thf(c_0_123, negated_conjecture, ![X549:$i, X550:$i, X552:$i, X553:$i, X554:$i, X555:$i, X556:$i, X557:$i, X558:$i, X559:$i, X560:$i, X562:$i, X563:$i, X565:$i, X566:$i, X567:$i, X568:$i, X569:$i, X571:$i, X572:$i > $i > $o, X573:$i, X576:$i, X578:$i, X579:$i, X580:$i, X581:$i, X583:$i, X584:$i > $o, X585:$i, X586:$i > $o, X587:$i, X588:$i, X589:$i > $o, X590:$i, X591:$i, X592:$i > $o, X593:$i, X594:$i > $o, X596:$i, X597:$o, X598:$i, X599:$i, X600:$o, X601:$i, X602:$i, X603:$i > $o, X605:$i, X606:$i, X609:$i, X611:$i, X613:$i, X614:$i > $o, X615:$i, X616:$i, X618:$i, X619:$i > $o, X620:$i, X621:$i, X622:$i, X623:$i, X624:$i, X625:$i, X626:$i, X627:$i, X628:$i, X629:$i, X630:$i, X631:$o, X632:$i, X633:$i, X634:$i, X635:$i, X636:$i, X637:$i, X639:$i, X640:$i, X641:$i, X642:$i, X643:$i, X644:$i, X645:$i, X646:$i, X647:$i, X648:$i, X649:$o, X651:$i, X652:$i, X653:$i > $o, X655:$i, X656:$i, X657:$i, X659:$i, X660:$i, X661:$i, X662:$i, X663:$i, X664:$i, X665:$i, X666:$i, X667:$i, X668:$i, X669:$i, X670:$i, X671:$i, X672:$i, X673:$i, X674:$i, X675:$i > $o, X676:$i, X677:$i > $o, X678:$i, X679:$i, X680:$i > $o, X681:$i, X683:$i, X684:$i > $o, X686:$i, X687:$i, X688:$i > $o, X690:$i, X691:$i, X692:$i > $o, X693:$i, X695:$o, X696:$i, X697:$i > $o, X699:$i, X700:$i, X701:$i > $o, X702:$i, X704:$i > $o, X705:$i, X707:$i > $o, X708:$i, X711:$i > $o, X712:$i, X714:$i, X715:$i, X716:$i, X717:$i, X718:$i, X719:$i, X720:$i, X721:$i, X722:$i > $o, X723:$i, X724:$i, X725:$i > $o, X726:$i > $o, X729:$i, X730:$i, X731:$i, X732:$i, X733:$i, X734:$i, X735:$i, X736:$i, X737:$i > $o, X738:$i, X739:$i, X740:$i > $o, X741:$i > $o, X744:$i, X745:$i, X746:$i > $o, X747:$i > $o, X750:$i, X751:$i, X753:$i, X754:$i, X755:$i, X756:$i, X757:$i, X758:$i, X760:$i, X761:$i, X762:$i, X763:$i, X764:$i, X765:$i, X766:$i, X767:$i, X768:$i, X769:$i, X770:$i, X771:$i, X772:$i, X773:$i, X774:$i, X775:$i, X776:$i, X777:$i, X778:$i, X779:$i, X780:$i, X781:$i, X782:$i, X783:$i, X784:$i, X785:$i, X786:$i, X787:$i, X788:$i, X789:$i, X790:$i, X791:$i, X792:$i, X793:$i, X794:$i, X795:$i, X796:$i, X797:$i > $o, X798:$i, X799:$i > $o, X800:$i, X801:$i, X802:$i]:((((~(in @ (esk1_2 @ X549 @ X550) @ X549)|~(in @ (esk1_2 @ X549 @ X550) @ X550)|((X549)=(X550)))&((in @ (esk1_2 @ X549 @ X550) @ X549)|(in @ (esk1_2 @ X549 @ X550) @ X550)|((X549)=(X550))))&(~(in @ X552 @ emptyset)&(((~(in @ X555 @ (setadjoin @ X553 @ X554))|(((X555)=(X553))|(in @ X555 @ X554)))&((((X555)!=(X553))|(in @ X555 @ (setadjoin @ X553 @ X554)))&(~(in @ X555 @ X554)|(in @ X555 @ (setadjoin @ X553 @ X554)))))&(((~(in @ X557 @ (powerset @ X556))|(~(in @ X558 @ X557)|(in @ X558 @ X556)))&(((in @ (esk2_2 @ X559 @ X560) @ X560)|(in @ X560 @ (powerset @ X559)))&(~(in @ (esk2_2 @ X559 @ X560) @ X559)|(in @ X560 @ (powerset @ X559)))))&(((((in @ X563 @ (esk3_2 @ X562 @ X563))|~(in @ X563 @ (setunion @ X562)))&((in @ (esk3_2 @ X562 @ X563) @ X562)|~(in @ X563 @ (setunion @ X562))))&(~(in @ X566 @ X567)|~(in @ X567 @ X565)|(in @ X566 @ (setunion @ X565))))&((in @ emptyset @ omega)&((~(in @ X568 @ omega)|(in @ (setadjoin @ X568 @ X568) @ omega))&(((((in @ (esk4_1 @ X569) @ omega)|~(in @ emptyset @ X569)|(~(in @ X571 @ omega)|(in @ X571 @ X569)))&((in @ (esk4_1 @ X569) @ X569)|~(in @ emptyset @ X569)|(~(in @ X571 @ omega)|(in @ X571 @ X569))))&(~(in @ (setadjoin @ (esk4_1 @ X569) @ (esk4_1 @ X569)) @ X569)|~(in @ emptyset @ X569)|(~(in @ X571 @ omega)|(in @ X571 @ X569))))&((((((in @ (esk7_3 @ X572 @ X573 @ X576) @ X573)|~(in @ X576 @ (esk6_2 @ X572 @ X573))|(in @ (esk5_2 @ X572 @ X573) @ X573))&((X572 @ (esk7_3 @ X572 @ X573 @ X576) @ X576)|~(in @ X576 @ (esk6_2 @ X572 @ X573))|(in @ (esk5_2 @ X572 @ X573) @ X573)))&(~(in @ X579 @ X573)|~(X572 @ X579 @ X578)|(in @ X578 @ (esk6_2 @ X572 @ X573))|(in @ (esk5_2 @ X572 @ X573) @ X573)))&((((in @ (esk7_3 @ X572 @ X573 @ X576) @ X573)|~(in @ X576 @ (esk6_2 @ X572 @ X573))|~(exu @ (X572 @ (esk5_2 @ X572 @ X573))))&((X572 @ (esk7_3 @ X572 @ X573 @ X576) @ X576)|~(in @ X576 @ (esk6_2 @ X572 @ X573))|~(exu @ (X572 @ (esk5_2 @ X572 @ X573)))))&(~(in @ X579 @ X573)|~(X572 @ X579 @ X578)|(in @ X578 @ (esk6_2 @ X572 @ X573))|~(exu @ (X572 @ (esk5_2 @ X572 @ X573))))))&((((in @ (esk8_1 @ X580) @ X580)|~(in @ X581 @ X580))&(~(in @ X583 @ (esk8_1 @ X580))|~(in @ X583 @ X580)|~(in @ X581 @ X580)))&((epred1_0)&((~(exu @ X584)|(X584 @ (descr @ X584)))&((~(in @ X587 @ X585)|(~(X586 @ X587)|(in @ X587 @ (dsetconstr @ X585 @ X586))))&((~(in @ X590 @ (dsetconstr @ X588 @ X589))|(in @ X590 @ X588))&((~(in @ X593 @ (dsetconstr @ X591 @ X592))|(X592 @ X593))&((((X594 @ (esk9_1 @ X594))|~(exu @ X594))&(~(X594 @ X596)|((esk9_1 @ X594)=(X596))|~(exu @ X594)))&((~(in @ X598 @ (prop2set @ ((X597))))|(X597))&((~(in @ X599 @ emptyset)|(X600))&((~(in @ X601 @ emptyset)|~($true))&(~(in @ X602 @ emptyset)&((~(exu @ X603)|(X603 @ (esk10_1 @ X603)))&(((((in @ (esk12_2 @ X605 @ X606) @ X606)|((X605)=(X606))|(in @ (esk11_2 @ X605 @ X606) @ X605))&(~(in @ (esk12_2 @ X605 @ X606) @ X605)|((X605)=(X606))|(in @ (esk11_2 @ X605 @ X606) @ X605)))&(((in @ (esk12_2 @ X605 @ X606) @ X606)|((X605)=(X606))|~(in @ (esk11_2 @ X605 @ X606) @ X606))&(~(in @ (esk12_2 @ X605 @ X606) @ X605)|((X605)=(X606))|~(in @ (esk11_2 @ X605 @ X606) @ X606))))&(((in @ (esk13_1 @ X609) @ X609)|((X609)=(emptyset)))&(((in @ (esk14_1 @ X611) @ X611)|((X611)=(emptyset)))&(((~(in @ X615 @ (dsetconstr @ X613 @ X614))|(X614 @ X615)|~(in @ X615 @ X613))&(~(X614 @ X615)|(in @ X615 @ (dsetconstr @ X613 @ X614))|~(in @ X615 @ X613)))&((~(nonempty @ X616)|(in @ (esk15_1 @ X616) @ X616))&((~(in @ X620 @ X618)|(~(X619 @ X620)|(nonempty @ (dsetconstr @ X618 @ X619))))&((~(in @ X622 @ X621)|(nonempty @ X621))&((in @ X623 @ (setadjoin @ X623 @ X624))&((in @ emptyset @ (setadjoin @ emptyset @ emptyset))&((~(in @ X627 @ X626)|(in @ X627 @ (setadjoin @ X625 @ X626)))&(((((in @ X630 @ X629)|(X631)|((X630)=(X628))|~(in @ X630 @ (setadjoin @ X628 @ X629)))&(~(X631)|(X631)|((X630)=(X628))|~(in @ X630 @ (setadjoin @ X628 @ X629))))&(((in @ X630 @ X629)|(X631)|~(X631)|~(in @ X630 @ (setadjoin @ X628 @ X629)))&(~(X631)|(X631)|~(X631)|~(in @ X630 @ (setadjoin @ X628 @ X629)))))&((~(in @ X634 @ (setadjoin @ X632 @ X633))|(((X634)=(X632))|(in @ X634 @ X633)))&(((dsetconstr @ X635 @ (^[Z0/* 1 */:$i]:($true)))=(X635))&((((in @ (esk16_2 @ X636 @ X637) @ X637)|(in @ X637 @ (powerset @ X636)))&(~(in @ (esk16_2 @ X636 @ X637) @ X636)|(in @ X637 @ (powerset @ X636))))&((in @ emptyset @ (powerset @ X639))&((in @ emptyset @ (powerset @ X640))&((~(in @ X642 @ (powerset @ X641))|(~(in @ X643 @ X642)|(in @ X643 @ X641)))&((~(in @ X645 @ X646)|(~(in @ X646 @ X644)|(in @ X645 @ (setunion @ X644))))&((((in @ X648 @ (esk17_3 @ X647 @ X648 @ X649))|(X649)|~(in @ X648 @ (setunion @ X647)))&(((in @ (esk17_3 @ X647 @ X648 @ X649) @ X647)|(X649)|~(in @ X648 @ (setunion @ X647)))&(~(X649)|(X649)|~(in @ X648 @ (setunion @ X647)))))&((~(in @ X652 @ X651)|(in @ X652 @ (powerset @ (setunion @ X651))))&(((~(X653 @ X655)|((X655)=(esk18_1 @ X653))|~(exu @ X653))&(((X656)!=(esk18_1 @ X653))|(X653 @ X656)|~(exu @ X653)))&((((in @ (esk19_1 @ X657) @ X657)|~(nonempty @ X657))&(($true)|~(nonempty @ X657)))&((~(in @ X659 @ (setadjoin @ X660 @ emptyset))|((X659)=(X660)))&((((X661)=(X662))|~(in @ X662 @ (setadjoin @ X661 @ emptyset)))&((((X663)!=(X664))|(in @ X663 @ (setadjoin @ X664 @ emptyset)))&((~(in @ X665 @ (setadjoin @ X666 @ emptyset))|(in @ X666 @ (setadjoin @ X665 @ emptyset)))&((~(in @ X669 @ (setadjoin @ X667 @ (setadjoin @ X668 @ emptyset)))|(((X669)=(X667))|((X669)=(X668))))&((in @ X670 @ (setadjoin @ X670 @ (setadjoin @ X671 @ emptyset)))&((in @ X673 @ (setadjoin @ X672 @ (setadjoin @ X673 @ emptyset)))&((~(in @ X676 @ X674)|~(X675 @ X676)|(((dsetconstr @ X674 @ X675)!=(emptyset))|~($true)))&((~(in @ X678 @ emptyset)|(X677 @ X678))&((((in @ (esk20_2 @ X679 @ X680) @ X679)|(~(in @ X681 @ X679)|(X680 @ X681)))&(~(X680 @ (esk20_2 @ X679 @ X680))|(~(in @ X681 @ X679)|(X680 @ X681))))&((((in @ (esk21_2 @ X683 @ X684) @ X683)|(~(in @ X686 @ X683)|~(X684 @ X686)))&((X684 @ (esk21_2 @ X683 @ X684))|(~(in @ X686 @ X683)|~(X684 @ X686))))&((((in @ (esk22_2 @ X687 @ X688) @ X687)|(~(in @ X690 @ X687)|~(X688 @ X690)))&((X688 @ (esk22_2 @ X687 @ X688))|(~(in @ X690 @ X687)|~(X688 @ X690))))&((((in @ (esk23_2 @ X691 @ X692) @ X691)|(~(in @ X693 @ X691)|(X692 @ X693)))&(~(X692 @ (esk23_2 @ X691 @ X692))|(~(in @ X693 @ X691)|(X692 @ X693))))&((~(X695)|(in @ emptyset @ (prop2set @ ((X695)))))&((prop2set2propI)&((((in @ (esk24_2 @ X696 @ X697) @ X696)|(~(in @ X699 @ X696)|~(X697 @ X699)))&((X697 @ (esk24_2 @ X696 @ X697))|(~(in @ X699 @ X696)|~(X697 @ X699))))&((((in @ (esk25_2 @ X700 @ X701) @ X700)|(~(in @ X702 @ X700)|(X701 @ X702)))&(~(X701 @ (esk25_2 @ X700 @ X701))|(~(in @ X702 @ X700)|(X701 @ X702))))&((((X704 @ (esk26_2 @ X704 @ X705))|~(X704 @ X705)|(exu @ X704))&(((X705)!=(esk26_2 @ X704 @ X705))|~(X704 @ X705)|(exu @ X704)))&((((X707 @ (esk27_1 @ X707))|(exu @ X707)|~(X707 @ X708))&(((X707 @ (esk28_1 @ X707))|(exu @ X707)|~(X707 @ X708))&(((esk27_1 @ X707)!=(esk28_1 @ X707))|(exu @ X707)|~(X707 @ X708))))&(((~(X711 @ (esk29_2 @ X711 @ X712))|((esk29_2 @ X711 @ X712)!=(X712))|(exu @ X711))&((X711 @ (esk29_2 @ X711 @ X712))|((esk29_2 @ X711 @ X712)=(X712))|(exu @ X711)))&((((X714)!=(X715))|(((X716)!=(X717))|(~(in @ X716 @ X714)|(in @ X717 @ X715))))&(((~(in @ X720 @ X718)|(in @ X721 @ X719)|((X720)!=(X721))|((X718)!=(X719)))&(~(in @ X721 @ X719)|(in @ X720 @ X718)|((X720)!=(X721))|((X718)!=(X719))))&((~(exu @ X722)|(~(X722 @ X723)|(~(X722 @ X724)|((X723)=(X724)))))&((((~(exu @ X725)|(exu @ X726)|((esk30_2 @ X725 @ X726)=(esk31_2 @ X725 @ X726)))&(~(exu @ X726)|(exu @ X725)|((esk30_2 @ X725 @ X726)=(esk31_2 @ X725 @ X726))))&(((~(exu @ X725)|(exu @ X726)|(~(X725 @ (esk30_2 @ X725 @ X726))|~(X726 @ (esk31_2 @ X725 @ X726))))&(~(exu @ X726)|(exu @ X725)|(~(X725 @ (esk30_2 @ X725 @ X726))|~(X726 @ (esk31_2 @ X725 @ X726)))))&((~(exu @ X725)|(exu @ X726)|((X725 @ (esk30_2 @ X725 @ X726))|(X726 @ (esk31_2 @ X725 @ X726))))&(~(exu @ X726)|(exu @ X725)|((X725 @ (esk30_2 @ X725 @ X726))|(X726 @ (esk31_2 @ X725 @ X726)))))))&(((emptyset)=(emptyset))&((((X729)!=(X730))|(((X731)!=(X732))|((setadjoin @ X729 @ X731)=(setadjoin @ X730 @ X732))))&((((X733)!=(X734))|((powerset @ X733)=(powerset @ X734)))&((((X735)!=(X736))|((setunion @ X735)=(setunion @ X736)))&(((omega)=(omega))&((~(exu @ X737)|(~(X737 @ X738)|(~(X737 @ X739)|((X738)=(X739)))))&(((((esk32_2 @ X740 @ X741)=(esk33_2 @ X740 @ X741))|(~(exu @ X740)|(~(exu @ X741)|((descr @ X740)=(descr @ X741)))))&((~(X740 @ (esk32_2 @ X740 @ X741))|~(X741 @ (esk33_2 @ X740 @ X741))|(~(exu @ X740)|(~(exu @ X741)|((descr @ X740)=(descr @ X741)))))&((X740 @ (esk32_2 @ X740 @ X741))|(X741 @ (esk33_2 @ X740 @ X741))|(~(exu @ X740)|(~(exu @ X741)|((descr @ X740)=(descr @ X741)))))))&((((in @ (esk34_4 @ X744 @ X745 @ X746 @ X747) @ X744)|((dsetconstr @ X744 @ X746)=(dsetconstr @ X745 @ X747))|((X744)!=(X745)))&(((in @ (esk35_4 @ X744 @ X745 @ X746 @ X747) @ X745)|((dsetconstr @ X744 @ X746)=(dsetconstr @ X745 @ X747))|((X744)!=(X745)))&((((esk34_4 @ X744 @ X745 @ X746 @ X747)=(esk35_4 @ X744 @ X745 @ X746 @ X747))|((dsetconstr @ X744 @ X746)=(dsetconstr @ X745 @ X747))|((X744)!=(X745)))&((~(X746 @ (esk34_4 @ X744 @ X745 @ X746 @ X747))|~(X747 @ (esk35_4 @ X744 @ X745 @ X746 @ X747))|((dsetconstr @ X744 @ X746)=(dsetconstr @ X745 @ X747))|((X744)!=(X745)))&((X746 @ (esk34_4 @ X744 @ X745 @ X746 @ X747))|(X747 @ (esk35_4 @ X744 @ X745 @ X746 @ X747))|((dsetconstr @ X744 @ X746)=(dsetconstr @ X745 @ X747))|((X744)!=(X745)))))))&((((in @ (esk36_2 @ X750 @ X751) @ X750)|(subset @ X750 @ X751))&(~(in @ (esk36_2 @ X750 @ X751) @ X751)|(subset @ X750 @ X751)))&((((X753)!=(X754))|(subset @ X754 @ X753))&((((X755)!=(X756))|(subset @ X755 @ X756))&((((in @ (esk37_2 @ X757 @ X758) @ X757)|(subset @ X757 @ X758))&(~(in @ (esk37_2 @ X757 @ X758) @ X758)|(subset @ X757 @ X758)))&((subset @ emptyset @ X760)&((~(subset @ X761 @ X762)|(~(in @ X763 @ X761)|(in @ X763 @ X762)))&((~(subset @ X764 @ X765)|((in @ X766 @ X765)|~(in @ X766 @ X764)))&((~(in @ X769 @ X767)|((in @ X769 @ X768)|~(subset @ X767 @ X768)))&(((subset @ X770 @ X771)|((X770)!=(X771)))&((~(in @ X774 @ X772)|((in @ X774 @ X773)|((X772)!=(X773))))&((subset @ X775 @ X775)&((~(subset @ X776 @ X777)|(~(subset @ X777 @ X778)|(subset @ X776 @ X778)))&((subset @ X780 @ (setadjoin @ X779 @ X780))&((~(subset @ X781 @ X783)|(subset @ X781 @ (setadjoin @ X782 @ X783)))&((~(subset @ X784 @ X785)|(in @ X784 @ (powerset @ X785)))&((~(subset @ X786 @ X787)|(~(subset @ X787 @ X786)|((X786)=(X787))))&((~(subset @ X788 @ emptyset)|((X788)=(emptyset)))&((~(subset @ X790 @ X789)|(in @ X790 @ (powerset @ X789)))&((~(in @ X792 @ (powerset @ X791))|(subset @ X792 @ X791))&((in @ X793 @ (powerset @ X793))&((~(subset @ X794 @ X795)|(subset @ (powerset @ X794) @ (powerset @ X795)))&((in @ (dsetconstr @ X796 @ X797) @ (powerset @ X796))&((subset @ (dsetconstr @ X798 @ X799) @ X798)&((~(in @ X802 @ X800)|(in @ X802 @ (binunion @ X800 @ X801)))&~(in @ esk39_0 @ (setadjoin @ esk38_0 @ (setadjoin @ esk39_0 @ emptyset))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_122])])])])])])])).
0.50/240.02	thf(c_0_124, negated_conjecture, ~((in @ esk39_0 @ (setadjoin @ esk38_0 @ (setadjoin @ esk39_0 @ emptyset)))), inference(split_conjunct,[status(thm)],[c_0_123])).
0.50/240.02	thf(c_0_125, negated_conjecture, ![X3:$i, X2:$i]:((in @ X2 @ (setadjoin @ X3 @ (setadjoin @ X2 @ emptyset)))), inference(split_conjunct,[status(thm)],[c_0_123])).
0.50/240.02	thf(c_0_126, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_124, c_0_125])]), ['proof']).
0.50/240.02	# SZS output end CNFRefutation
0.50/240.02	# Parsed axioms                        : 218
0.50/240.02	# Removed by relevancy pruning/SinE    : 119
0.50/240.02	# Initial clauses                      : 167
0.50/240.02	# Removed in clause preprocessing      : 15
0.50/240.02	# Initial clauses in saturation        : 152
0.50/240.02	# Processed clauses                    : 56
0.50/240.02	# ...of these trivial                  : 1
0.50/240.02	# ...subsumed                          : 6
0.50/240.02	# ...remaining for further processing  : 49
0.50/240.02	# Other redundant clauses eliminated   : 5
0.50/240.02	# Clauses deleted for lack of memory   : 0
0.50/240.02	# Backward-subsumed                    : 0
0.50/240.02	# Backward-rewritten                   : 2
0.50/240.02	# Generated clauses                    : 5
0.50/240.02	# ...of the previous two non-redundant : 1
0.50/240.02	# ...aggressively subsumed             : 0
0.50/240.02	# Contextual simplify-reflections      : 0
0.50/240.02	# Paramodulations                      : 0
0.50/240.02	# Factorizations                       : 0
0.50/240.02	# NegExts                              : 0
0.50/240.02	# Equation resolutions                 : 5
0.50/240.02	# Disequality decompositions           : 0
0.50/240.02	# Total rewrite steps                  : 7
0.50/240.02	# ...of those cached                   : 2
0.50/240.02	# Propositional unsat checks           : 0
0.50/240.02	#    Propositional check models        : 0
0.50/240.02	#    Propositional check unsatisfiable : 0
0.50/240.02	#    Propositional clauses             : 0
0.50/240.02	#    Propositional clauses after purity: 0
0.50/240.02	#    Propositional unsat core size     : 0
0.50/240.02	#    Propositional preprocessing time  : 0.000
0.50/240.02	#    Propositional encoding time       : 0.000
0.50/240.02	#    Propositional solver time         : 0.000
0.50/240.02	#    Success case prop preproc time    : 0.000
0.50/240.02	#    Success case prop encoding time   : 0.000
0.50/240.02	#    Success case prop solver time     : 0.000
0.50/240.02	# Current number of processed clauses  : 42
0.50/240.02	#    Positive orientable unit clauses  : 15
0.50/240.02	#    Positive unorientable unit clauses: 0
0.50/240.02	#    Negative unit clauses             : 2
0.50/240.02	#    Non-unit-clauses                  : 25
0.50/240.02	# Current number of unprocessed clauses: 97
0.50/240.02	# ...number of literals in the above   : 317
0.50/240.02	# Current number of archived formulas  : 0
0.50/240.02	# Current number of archived clauses   : 2
0.50/240.02	# Clause-clause subsumption calls (NU) : 53
0.50/240.02	# Rec. Clause-clause subsumption calls : 42
0.50/240.02	# Non-unit clause-clause subsumptions  : 2
0.50/240.02	# Unit Clause-clause subsumption calls : 8
0.50/240.02	# Rewrite failures with RHS unbound    : 0
0.50/240.02	# BW rewrite match attempts            : 6
0.50/240.02	# BW rewrite match successes           : 2
0.50/240.02	# Condensation attempts                : 0
0.50/240.02	# Condensation successes               : 0
0.50/240.02	# Termbank termtop insertions          : 22783
0.50/240.02	# Search garbage collected termcells   : 9320
0.50/240.02	
0.50/240.02	# -------------------------------------------------
0.50/240.02	# User time                : 0.028 s
0.50/240.02	# System time              : 0.006 s
0.50/240.02	# Total time               : 0.034 s
0.50/240.02	# Maximum resident set size: 4400 pages
0.50/240.02	
0.50/240.02	# -------------------------------------------------
0.50/240.02	# User time                : 0.034 s
0.50/240.02	# System time              : 0.010 s
0.50/240.02	# Total time               : 0.043 s
0.50/240.02	# Maximum resident set size: 1996 pages
0.50/240.02	% E exiting
0.50/240.02	% E exiting
0.50/240.02	EOF